Comment on “Lattice vibrations in the Frenkel-Kontorova model. I. Phonon dispersion, number density, and energy”

2015 ◽  
Vol 92 (18) ◽  
Author(s):  
Anthony D. Novaco
Keyword(s):  
Phonon Dispersion ◽  
Lattice Vibrations ◽  
Number Density ◽  
Dispersion Number ◽  
Kontorova Model

scholarly journals Lattice Vibrations and Ideal Electrical Resistivity of Noble Metals

1979 ◽  
Vol 34 (3) ◽  
pp. 310-314
Author(s):  
B. P. Singh ◽  
M. P. Hemkar
Keyword(s):  
Experimental Data ◽  
Electrical Resistivity ◽  
Temperature Variation ◽  
Satisfactory Agreement ◽  
Noble Metals ◽  
Phonon Dispersion ◽  
Dynamical Model ◽  
Lattice Vibrations

Abstract The phonon dispersion in the three principal symmetry directions [ζ00], [ζζ0] and [ζζζ] and the temperature variation of the electrical resistivity of Cu, Ag and Au have been studied by using a lattice dynamical model which takes into account d shell-d shell central interactions up to second neighbours. The calculated results have been compared with the available experimental data and have been found to be in a satisfactory agreement.

Properties of IR-active lattice vibrations in the vicinity of kinks in the Frenkel-Kontorova model

JETP Letters ◽  
1997 ◽  
Vol 65 (10) ◽  
pp. 785-790
Author(s):  
V. M. Burlakov ◽  
M. A. Moskalenko
Keyword(s):  
Lattice Vibrations ◽  
Kontorova Model

Temperature-dependent X-ray dynamical diffraction: Darwin theory simulations

1999 ◽  
Vol 55 (1) ◽  
pp. 14-19 ◽  
Author(s):  
Jin-Seok Chung ◽  
Stephen M. Durbin
Keyword(s):  
Phonon Dispersion ◽  
Lattice Vibrations ◽  
X Ray Diffraction ◽  
Temperature Dependent ◽  
Phonon Dispersion Curves ◽  
Dynamical Diffraction ◽  
X Ray ◽  
Ergodic Hypothesis ◽  
Thermal Vibrations ◽  
Good Agreement

Thermal vibrations destroy the perfect crystalline periodicity generally assumed by dynamical diffraction theories. This can lead to some difficulty in deriving the temperature dependence of X-ray reflectivity from otherwise perfect crystals. This difficulty is overcome here in numerical simulations based on the extended Darwin theory, which does not require periodicity. Using Si and Ge as model materials, it is shown how to map the lattice vibrations derived from measured phonon dispersion curves onto a suitable Darwin model. Good agreement is observed with the usual Debye–Waller behavior predicted by standard theories, except at high temperatures for high-order reflections. These deviations are discussed in terms of a possible breakdown of the ergodic hypothesis for X-ray diffraction.

scholarly journals Dispersion of Phonons in Ideal Crystals

1969 ◽  
Vol 22 (4) ◽  
pp. 471 ◽  
Author(s):  
NP Gupta
Keyword(s):  
Experimental Data ◽  
Phonon Dispersion ◽  
Zero Point ◽  
Lattice Vibrations ◽  
Rare Gases ◽  
Point Energy ◽  
Phonon Dispersion Curves ◽  
Debye Theory ◽  
Specific Heats ◽  
Theoretical Frequency

A quasiharmonic central force rigid-atom model has been used to study the lattice vibrations of frozen rare gases. The model takes care of interactions up to fourth neighbour and estimates zero-point energy and its volume derivatives by the Debye theory of specific heats. The theoretical frequency distribution and phonon dispersion curves are found to compare reasonably well with the available experimental data. Various causes of the discrepancies and possibilities of improvement of the results are discussed.

scholarly journals Lattice Vibrations in Vanadium

1974 ◽  
Vol 27 (4) ◽  
pp. 471 ◽  
Author(s):  
Satya Pal
Keyword(s):  
Specific Heat ◽  
Frequency Distribution ◽  
Phonon Dispersion ◽  
Sampling Technique ◽  
Experimental Measurements ◽  
Lattice Vibrations ◽  
Phonon Dispersion Curves ◽  
Characteristic Temperatures ◽  
Lattice Specific Heat ◽  
Root Sampling

The phonon dispersion curves, frequency spectrum and specific heat of vanadium have been calculated on the basis of the lattice dynamical model of Sharma and Joshi (1963). The frequency distribution has been derived according to Blackman's (1937, 1955) root-sampling technique by the numerical sampling of 192000 frequencies corresponding to 64000 points considered in the first Brillouin zone. This computed frequency distribution has then been used to calculate the lattice specific heat of vanadium. The resulting values of the specific heat have been compared with experimental measurements in terms of the Debye characteristic temperatures.

LATTICE DYNAMICS OF YBa2Cu3O7 IN THE IONIC MODEL

1989 ◽  
Vol 03 (04) ◽  
pp. 611-615 ◽  
Author(s):  
V. R. BELOSLUDOV ◽  
M. Yu. LAVRENTIEV ◽  
S. A. SYSKIN
Keyword(s):  
Lattice Dynamics ◽  
Short Range ◽  
Phonon Dispersion ◽  
Lattice Vibrations ◽  
Coulombic Interaction ◽  
Ionic Model ◽  
Phonon Dispersion Curves ◽  
Short Range Repulsion ◽  
Ir And Raman ◽  
Density Of Phonon States

A simple model of interatomic interactions in YBa 2 Cu 3 O 7, which takes into account long-range Coulombic interaction and short-range repulsion of the Born-Mayer type, is presented. On the basis of this model the calculation of lattice vibrations in YBa 2 Cu 3 O 7 is performed, and phonon dispersion curves and density of phonon states are found. A comparison with experimental data on IR and Raman spectra is presented.

scholarly journals Lattice vibrations in the Frenkel-Kontorova Model. II. Thermal conductivity

2015 ◽  
Vol 91 (22) ◽  
Author(s):  
Qingping Meng ◽  
Lijun Wu ◽  
David O. Welch ◽  
Yimei Zhu
Keyword(s):  
Thermal Conductivity ◽  
Lattice Vibrations ◽  
Kontorova Model
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